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Finding the Third Proportional to 133,870.50 and 281,547

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Solution

The third proportional to 133,870.50 and 281,547 is: 592,129.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,870.50 : 281,547 = 281,547 : x
  2. Step 2: Convert to fraction form
    133,870.50/281,547 = 281,547/x
  3. Step 3: Cross multiply
    133,870.50x = 281,547 × 281,547
  4. Step 4: Simplify right side
    133,870.50x = 79,268,713,209
  5. Step 5: Solve for x
    x = 79,268,713,209/133,870.50
  6. Step 6: Final answer
    x = 592,129.81

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.